Which of the following radian measures is equal to 45^(@) ? Choose 1 answer: A) (pi)/(2) radians (B) (pi)/(3) radians (c) (pi)/(4) radians (D) (pi)/(6) radians

Convert to Radians: To convert degrees to radians, we use the conversion factor that 180 degrees is equal to π radians. Therefore, to find the radian measure equivalent to 45 degrees, we set up the proportion: (45 degrees) * (π radians / 180 degrees).Calculate Value: Now we calculate the value: (45/180) * π = (1/4) * π = π/4 radians.Check Calculation: We check our calculation to ensure that we have not made any errors in the conversion process. Since 45 is one-fourth of 180, it is correct that 45 degrees is equal to π/4 radians.

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Which of the following radian measures is equal to
45^(@) ?
Choose 1 answer:
A)
(pi)/(2) radians
(B)
(pi)/(3) radians
(c)
(pi)/(4) radians
(D)
(pi)/(6) radians

Which of the following radian measures is equal to $45^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{2}$ radians $\newline$ B $\frac{\pi}{3}$ radians $\newline$ (C) $\frac{\pi}{4}$ radians $\newline$ (D) $\frac{\pi}{6}$ radians

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Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. Which of the following radian measures is equal to

45^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{2}

radians

\newline

\frac{\pi}{3}

radians

\newline

(C)

\frac{\pi}{4}

radians

\newline

(D)

\frac{\pi}{6}

radians

Convert to Radians: To convert degrees to radians, we use the conversion factor that $180$ degrees is equal to $\pi$ radians. Therefore, to find the radian measure equivalent to $45$ degrees, we set up the proportion: $(45 \text{ degrees}) \times (\pi \text{ radians} / 180 \text{ degrees})$ .
Calculate Value: Now we calculate the value: $(45/180) \times \pi = (1/4) \times \pi = \pi/4$ radians.
Check Calculation: We check our calculation to ensure that we have not made any errors in the conversion process. Since $45$ is one-fourth of $180$ , it is correct that $45$ degrees is equal to $\pi/4$ radians.